jsci.maths.polynomials

Class ComplexPolynomial

java.lang.Object

jsci.maths.polynomials.ComplexPolynomial

All Implemented Interfaces:

java.io.Serializable, Ring.Member, AbelianGroup.Member, Member, Polynomial

public class ComplexPolynomial
extends java.lang.Object
implements Polynomial

A Polynomial over the complex field. For a description of the methods

See Also:

RealPolynomial, Serialized Form

Constructor Summary

Constructors

Constructor and Description
ComplexPolynomial(Complex[] coeff) Creates a new instance of ComplexPolynomial
ComplexPolynomial(Field.Member[] f) Creates a new ComplexPolynomial object.

Method Summary

Modifier and Type	Method and Description
AbelianGroup.Member	add(AbelianGroup.Member g) The group composition law.
int	degree() The degree.
boolean	equals(java.lang.Object o)
Field.Member	getCoefficient(int n) Get the coefficient of degree k, i.e.
Complex	getCoefficientAsComplex(int n)
Field.Member[]	getCoefficients() Get the coefficients as an array
Complex[]	getCoefficientsAsComplexes() Return the coefficients as an array of complex numbers.
java.lang.Object	getSet()
int	hashCode()
boolean	isOne()
boolean	isZero()
Complex	map(Complex z) Evaluates this polynomial.
Complex	map(double x, double y) Evaluates this polynomial.
Ring.Member	multiply(Ring.Member r) The multiplication law.
AbelianGroup.Member	negate() Returns the inverse member.
ComplexPolynomial	scalarDivide(Complex a) Returns the division of this polynomial by a scalar.
ComplexPolynomial	scalarDivide(double a) Returns the division of this polynomial by a scalar.
Polynomial	scalarDivide(Field.Member f) Returns the division of this polynomial by a scalar.
ComplexPolynomial	scalarMultiply(Complex a) Returns the multiplication of this polynomial by a scalar.
ComplexPolynomial	scalarMultiply(double a) Returns the multiplication of this polynomial by a scalar.
Polynomial	scalarMultiply(Field.Member f) Returns the multiplication of this polynomial by a scalar.
AbelianGroup.Member	subtract(AbelianGroup.Member g) The group composition law with inverse.
java.lang.String	toString()

Methods inherited from class java.lang.Object

getClass, notify, notifyAll, wait, wait, wait

Constructor Detail

ComplexPolynomial

public ComplexPolynomial(Complex[] coeff)

Creates a new instance of ComplexPolynomial

ComplexPolynomial

public ComplexPolynomial(Field.Member[] f)

Creates a new ComplexPolynomial object.

Parameters:

f -

Method Detail

getCoefficient

public Field.Member getCoefficient(int n)

Description copied from interface: Polynomial

Get the coefficient of degree k, i.e. a_k if P(x) := sum_{k=0}^n a_k x^k

Specified by:

getCoefficient in interface Polynomial

Parameters:

n -

Returns:

coefficient as described above

getCoefficientAsComplex

public Complex getCoefficientAsComplex(int n)

Parameters:

n -

getCoefficients

public Field.Member[] getCoefficients()

Description copied from interface: Polynomial

Get the coefficients as an array

Specified by:

getCoefficients in interface Polynomial

Returns:

the coefficients as an array

getCoefficientsAsComplexes

public Complex[] getCoefficientsAsComplexes()

Return the coefficients as an array of complex numbers.

map

public Complex map(Complex z)

Evaluates this polynomial.

map

public Complex map(double x,
                   double y)

Evaluates this polynomial.

degree

public int degree()

Description copied from interface: Polynomial

The degree.

Specified by:

degree in interface Polynomial

Returns:

the degree

getSet

public java.lang.Object getSet()

Specified by:

getSet in interface Member

isZero

public boolean isZero()

Returns:

true if this is equal to zero.

isOne

public boolean isOne()

Returns:

true if this is equal to one.

add

public AbelianGroup.Member add(AbelianGroup.Member g)

The group composition law.

Specified by:

add in interface AbelianGroup.Member

Parameters:

g - a group member

scalarDivide

public Polynomial scalarDivide(Field.Member f)

Returns the division of this polynomial by a scalar.

Specified by:

scalarDivide in interface Polynomial

Parameters:

f -

Returns:

new Polynomial with coefficients /= a

scalarDivide

public ComplexPolynomial scalarDivide(Complex a)

Returns the division of this polynomial by a scalar.

Parameters:

a -

scalarDivide

public ComplexPolynomial scalarDivide(double a)

Returns the division of this polynomial by a scalar.

Parameters:

a -

equals

public boolean equals(java.lang.Object o)

Overrides:

equals in class java.lang.Object

Parameters:

o -

hashCode

public int hashCode()

Overrides:

hashCode in class java.lang.Object

scalarMultiply

public Polynomial scalarMultiply(Field.Member f)

Returns the multiplication of this polynomial by a scalar.

Specified by:

scalarMultiply in interface Polynomial

Parameters:

f -

Returns:

new Polynomial with coefficients *= a

scalarMultiply

public ComplexPolynomial scalarMultiply(double a)

Returns the multiplication of this polynomial by a scalar.

Parameters:

a -

scalarMultiply

public ComplexPolynomial scalarMultiply(Complex a)

Returns the multiplication of this polynomial by a scalar.

Parameters:

a -

multiply

public Ring.Member multiply(Ring.Member r)

The multiplication law.

Specified by:

multiply in interface Ring.Member

Parameters:

r - a ring member

negate

public AbelianGroup.Member negate()

Returns the inverse member.

Specified by:

negate in interface AbelianGroup.Member

subtract

public AbelianGroup.Member subtract(AbelianGroup.Member g)

The group composition law with inverse.

Specified by:

subtract in interface AbelianGroup.Member

Parameters:

g - a group member

toString

public java.lang.String toString()

Overrides:

toString in class java.lang.Object